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Simplifying 49b2 + -112bf + 64f2 = 0 Reorder the terms: -112bf + 49b2 + 64f2 = 0 Solving -112bf + 49b2 + 64f2 = 0 Solving for variable 'b'. Factor a trinomial. (7b + -8f)(7b + -8f) = 0Subproblem 1
Set the factor '(7b + -8f)' equal to zero and attempt to solve: Simplifying 7b + -8f = 0 Solving 7b + -8f = 0 Move all terms containing b to the left, all other terms to the right. Add '8f' to each side of the equation. 7b + -8f + 8f = 0 + 8f Combine like terms: -8f + 8f = 0 7b + 0 = 0 + 8f 7b = 0 + 8f Remove the zero: 7b = 8f Divide each side by '7'. b = 1.142857143f Simplifying b = 1.142857143fSubproblem 2
Set the factor '(7b + -8f)' equal to zero and attempt to solve: Simplifying 7b + -8f = 0 Solving 7b + -8f = 0 Move all terms containing b to the left, all other terms to the right. Add '8f' to each side of the equation. 7b + -8f + 8f = 0 + 8f Combine like terms: -8f + 8f = 0 7b + 0 = 0 + 8f 7b = 0 + 8f Remove the zero: 7b = 8f Divide each side by '7'. b = 1.142857143f Simplifying b = 1.142857143fSolution
b = {1.142857143f, 1.142857143f}
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